Pearson's r

This section introduces Pearson's correlation and explains what the typical values represent. It then elaborates on the properties of r, particularly that it is invariant under linear transformation. Finally, it introduces several formulas we can use to compute Pearson's correlation.

Properties of Pearson's r

Answers


  1. It will be the same because that is a linear transformation.

  2. It won't be the same because a log transformation is not a linear transformation.

  3. \mathrm{-1.5}
    Pearson's correlation can be any value between -1 and 1 inclusive.

  4. Correlations are symmetric so they are exactly the same.